Search a number
-
+
28646279964 = 22331725691613
BaseRepresentation
bin11010101011011100…
…111000101100011100
32201221102000210121000
4122223130320230130
5432131421424324
621054313110300
72032611235131
oct325334705434
981842023530
1028646279964
1111170095145
1256756b8390
132916a9b723
14155a742588
15b29d769c9
hex6ab738b1c

28646279964 has 144 divisors (see below), whose sum is σ = 79081480800. Its totient is φ = 8965711872.

The previous prime is 28646279941. The next prime is 28646279989. The reversal of 28646279964 is 46997264682.

28646279964 is a `hidden beast` number, since 2 + 86 + 462 + 7 + 9 + 96 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17758822 + ... + 17760434.

It is an arithmetic number, because the mean of its divisors is an integer number (549176950).

Almost surely, 228646279964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28646279964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39540740400).

28646279964 is an abundant number, since it is smaller than the sum of its proper divisors (50435200836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28646279964 is a wasteful number, since it uses less digits than its factorization.

28646279964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2204 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 28646279964 in words is "twenty-eight billion, six hundred forty-six million, two hundred seventy-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 569 578 612 867 918 1138 1156 1613 1707 1734 1836 2276 2601 3226 3414 3468 4839 5121 5202 6452 6828 7803 9673 9678 10242 10404 14517 15363 15606 19346 19356 20484 27421 29019 29034 30726 31212 38692 43551 54842 58038 58068 61452 82263 87057 87102 109684 116076 164441 164526 174114 174204 246789 261171 328882 329052 348228 466157 493323 493578 522342 657764 740367 917797 932314 986646 987156 1044684 1398471 1479969 1480734 1835594 1864628 1973292 2753391 2796942 2959938 2961468 3671188 4195413 4439907 5506782 5593884 5919876 8260173 8390826 8879814 11013564 12586239 15602549 16520346 16781652 17759628 24780519 25172478 31205098 33040692 46807647 49561038 50344956 62410196 93615294 99122076 140422941 187230588 265243333 280845882 421268823 530486666 561691764 795729999 842537646 1060973332 1591459998 1685075292 2387189997 3182919996 4774379994 7161569991 9548759988 14323139982 28646279964